513131325 has 48 divisors (see below), whose sum is σ = 972128256. Its totient is φ = 233956800.

The previous prime is 513131317. The next prime is 513131351. The reversal of 513131325 is 523131315.

It is not a de Polignac number, because 513131325 - 2³ = 513131317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513131295 and 513131304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242020 + ... + 244130.

It is an arithmetic number, because the mean of its divisors is an integer number (20252672).

Almost surely, 2^513131325 is an apocalyptic number.

It is an amenable number.

513131325 is a deficient number, since it is larger than the sum of its proper divisors (458996931).

513131325 is a wasteful number, since it uses less digits than its factorization.

513131325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2589 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 513131325 is about 22652.4021904963. The cubic root of 513131325 is about 800.5887983102.

The spelling of 513131325 in words is "five hundred thirteen million, one hundred thirty-one thousand, three hundred twenty-five".